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Finding the Fourth Proportional to 7,096.74, 10,651.67 and 3,589.22

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Solution

The fourth proportional to 7,096.74, 10,651.67 and 3,589.22 is: 5,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.74 : 10,651.67 = 3,589.22 : x
  2. Step 2: Convert to fraction form
    7,096.74/10,651.67 = 3,589.22/x
  3. Step 3: Cross multiply
    7,096.74x = 10,651.67 × 3,589.22
  4. Step 4: Simplify right side
    7,096.74x = 38,231,115.79
  5. Step 5: Solve for x
    x = 38,231,115.79/7,096.74
  6. Step 6: Final answer
    x = 5,387.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.